Two numbers are in the ratio 3: 4. and their L.C.M. is 120, Find their sum
Answers
Answered by
3
Answer:
Solution: The two numbers are, say, 3x and 4x, Their HCF = x and their LCM = 120. Or. 3*4*x = 12x = 120. Thus, x = 10
Step-by-step explanation:
gud morning ji ☑️
Answered by
6
Answer:
hey mate here is your answer
Step-by-step explanation:
Let's the smaller number is 3x and greater number is 4x. Then their HCF(Highest Common Factor) will be x. Now we know that:
Product of two number = (HCF * LCM) of the two number
> 3x * 4x = 120 *x
> 12x^2 = 120x
> x^2 = 10x
> x^2 - 10x =0
Solving above quadratic equation, we get:
x = 10, 0
Since 0 is not acceptable solution. So
x = 10
Greater number 4x = 40
thank you have a great day ahead
Similar questions
Science,
1 month ago
Hindi,
1 month ago
Math,
1 month ago
Environmental Sciences,
3 months ago
Social Sciences,
3 months ago
Hindi,
11 months ago
English,
11 months ago